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Finding the Fourth Proportional to 57,878.01, 86,870.61 and 35,734.77

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Solution

The fourth proportional to 57,878.01, 86,870.61 and 35,734.77 is: 53,635.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,878.01 : 86,870.61 = 35,734.77 : x
  2. Step 2: Convert to fraction form
    57,878.01/86,870.61 = 35,734.77/x
  3. Step 3: Cross multiply
    57,878.01x = 86,870.61 × 35,734.77
  4. Step 4: Simplify right side
    57,878.01x = 3,104,301,268.11
  5. Step 5: Solve for x
    x = 3,104,301,268.11/57,878.01
  6. Step 6: Final answer
    x = 53,635.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.